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Finding the Fourth Proportional to 11,572.12, 15,969.60 and 6,267

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Solution

The fourth proportional to 11,572.12, 15,969.60 and 6,267 is: 8,648.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,572.12 : 15,969.60 = 6,267 : x
  2. Step 2: Convert to fraction form
    11,572.12/15,969.60 = 6,267/x
  3. Step 3: Cross multiply
    11,572.12x = 15,969.60 × 6,267
  4. Step 4: Simplify right side
    11,572.12x = 100,081,483.20
  5. Step 5: Solve for x
    x = 100,081,483.20/11,572.12
  6. Step 6: Final answer
    x = 8,648.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.